Can i edit the agent instructions/prompt after i have started multiple conversation?

[ketchalegend]

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At the moment, when i start multiple conversations using the api and later on go ahead and edit the agent prompt, it is not updated in the individual converstaion. For example if before the conversation starts with the prompt "You're selling books". I start a conversation and then later on, while I'm in the conversation using the API endpoint, I go back in the instruction and change the prompt to "You're selling shoes", for example The conversation is not updated to use the new prompt.

The conversation doesn't know about a new prompt, it still uses the old prompt. How can I use the new prompt in an active conversation and in old conversations?